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Finding the Fourth Proportional to 30,122.85, 45,184.73 and 7,938.47

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Solution

The fourth proportional to 30,122.85, 45,184.73 and 7,938.47 is: 11,907.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,122.85 : 45,184.73 = 7,938.47 : x
  2. Step 2: Convert to fraction form
    30,122.85/45,184.73 = 7,938.47/x
  3. Step 3: Cross multiply
    30,122.85x = 45,184.73 × 7,938.47
  4. Step 4: Simplify right side
    30,122.85x = 358,697,623.56
  5. Step 5: Solve for x
    x = 358,697,623.56/30,122.85
  6. Step 6: Final answer
    x = 11,907.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.